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Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
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Modelling, Analysis and Control of Dynamic Elastic Multi-Link Structures (Hardcover)
Loot Price: R2,609
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Modelling, Analysis and Control of Dynamic Elastic Multi-Link Structures (Hardcover)
Series: Systems & Control: Foundations and Applications
Expected to ship within 12 - 19 working days
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A typical subsystem found in almost all aircraft and space vehicles
consists of beam, plate and/or shell elements attached to each
other in a rigid or flexible manner. Due to limitations on their
weights, the elements themselves must be highly flexible, and due
to limitations on their initial configuration (i.e., before
deployment), those aggregates often have to contain several links
so that the substructure may be unfolded or telescoped once it is
deployed. The defining philosophy of this monograph is that in
order to understand completely the dynamic response of such a
complex elastic structure, it is not sufficient to consider only
its global motion but also necessary to take into account the
flexibility of individual elements and the interaction and
transmission of elastic effects such as bending, torsion, and axial
deformations at junctions where members are connected to each
other. Therefore, the purposes of this monograph are: to derive
distributed parameter models of the transient behavior of some or
all of the state and interval variables which describe the dynamic
response of multiple-link flexible structures such as trusses,
frames, robot arms, solar panels, antennae and deformable mirrors,
based on the principles of continuum mechanics and under reasonable
constraints on the geometry of the admissible deformations; to
provide rigorous mathematical analyses of the resulting models; and
to develop control theoretic properties of multiple-link flexible
structures based on the control theoretic properties of the models.
The modelling and analysis of these complicated and realistic
structural configurations should be of interest to a diverse group
of applied mathematicians, structural, aeronautical, aerospace, and
mechanical engineers and to advanced graduate students working on
such problems.
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